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Gregory Bateson, Heterarchies, and the Topology of Recursion

机译：Gregory Bateson，层次结构和递归拓扑

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There is a generalized history circulating on the Internet and in academic papers that Gregory Bateson was so wedded to first-order cybernetics that he did not fully appreciate the significance of Spencer Brown and the recursive logic that Spencer Brown introduced. It therefore fell upon Francisco Varela and Humberto Maturana to take up the logical aspects of recursive forms in their conceptualization of autopoiesis, and make the big leap forward. Today, Maturana and Varela are often cited as the originators of the recursive view. In a sense this is correct. Varela did take up the mathematics of recursive forms over many years and Bateson did not. But the belief that they won the debate with Bateson over recursion (Dell, 1985; Capra, 1996) is suspect. This column will take the position that at minimum, the actual situation is far more complex, moreover there are good reasons for Bateson's hesitancy in embracing the mathematics of recursion.
机译：互联网和学术论文中流传着一个普遍的历史，格里高里·贝特森（Gregory Bateson）如此痴迷于一阶控制论，以至于他没有完全理解斯宾塞·布朗（Spencer Brown）的重要性以及斯宾塞·布朗（Spencer Brown）引入的递归逻辑。因此，弗朗西斯科·瓦雷拉（Francisco Varela）和温贝托·曼图拉纳（Humberto Maturana）不得不在其对自生概念的研究中采用递归形式的逻辑方面，并取得了巨大的飞跃。如今，经常将Maturana和Varela称为递归视图的发起者。从某种意义上说，这是正确的。 Varela确实从事递归形式的数学多年，而Bateson却没有。但是相信他们赢得了与贝特森有关递归的辩论的想法（Dell，1985； Capra，1996）。本专栏的立场是，实际情况至少要复杂得多，此外，有充分的理由使贝特森（Bateson）在采用递归数学时犹豫不决。

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